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Answer:
x=8
Step-by-step explanation:
30-5x-10
-5x+30-10
-5x+40
-5x= -40
divide both sides by -5
-5x/-5= -40/-5
x=8
Let u = 5x+1. Then du = 5·dx, and your integral is

Let X be the normal variable with mean μ =50 and standard deviation σ =2
We have to find probability that x is between 47 and 54
P(47 < X < 54) = P(X < 54) - P(X < 47)
=
- 
= P(Z < 2) - P(Z < -1.5)
Using standard normal z score table to find probabilities we get
P(Z < 2) = 0.9772
P(Z < -1.5) = 0.0668
P(47 < X < 54) = P(Z < 2) - P(Z < -1.5)
= 0.9772 - 0.0668
P(47 < X < 54) = 0.9104
The probability that x is between 47 and 54 is 0.9104
Answer:
A
Step-by-step explanation:
5 is the hypotenuse, 3 is the opposite side, and 4 is the adjacent side. Thus, the cosine of A is adjacent/hypotenuse, hence 4/5.